Geometric Optics for One-Dimensional Schrodinger-Poisson System

Citation:

Zhifei ZHANG,Qionglei CHEN.Geometric Optics for One-Dimensional Schrodinger-Poisson System[J].Chinese Annals of Mathematics B,2006,27(3):353~362
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Authors:

Zhifei ZHANG; Qionglei CHEN
Abstract: This paper considers a family of Schrodinger-Poisson system in one dimension, whose initial data oscillates so that a caustic appears. By using the Lagrangian integrals, the authors obtain a uniform description of the solution outside the caustic, and near the caustic.

Keywords:

Schrodinger-Poisson, Geometric optics, Lagrangian integral

Classification:

35Q55
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